Let 'u' and 'v' be two non zero vectors such that the prjection of 'u' along 'v' equals the projection of 'v' along 'u.' Using the formula for projection, show that 'u' and 'v' are either perpendicular or parallel.
The Attempt at a Solution
Please don't just answer it, I would like to do this one on my own. But I first need a hint because I have been trying for about 30 minutes.
I know that the projection of 'u' along 'v' is u dot v, divided by the square of the norm of 'v'. Then this scalar is multiplied through 'v'. But that's about all I have.
Edit: I guess I said more about how far I got. I get the following: